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    A fair cubic die is rolled 5 times and we get the face with number 1 all 5 times on top. The probability of getting the same face on the sixth trial i
    Question

    A fair cubic die is rolled 5 times and we get the face with number 1 all 5 times on top. The probability of getting the same face on the sixth trial is,

    A.

    (1-5/6)(1/6)

    B.

    (1/6)

    C.

    (1/6)6(1/6)^6​​

    D.

    5/6

    Correct option is B

    Given:
    A fair 6-faced die is rolled 5 times, and the result was 1 on all 5 trials.
    We are now asked:
    What is the probability of getting the same face (i.e., 1) on the 6th trial?

    Solution:
    Since the die is fair and each trial is independent,
    the outcome of the previous rolls does not affect the outcome of the next roll.

    So, the probability of getting any specific number (like 1) on a single roll is:

    P(getting 1)=16P(\text{getting 1}) = \frac{1}{6}​​

    This holds true regardless of what happened in the first 5 rolls.

    The probability of getting 1 on the 6th roll = 1/6

    Final Answer:
    S. Ans. (B) (1/6)

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